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What are the canonical coordinates

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Angular momentum and Hamiltonian for a free rotating rigid body

(a) Show that the Hamiltonian corresponding to L = 1 2 P 3 i,j=1 ΩiIijΩj is given by H = 1 2 X 3 i,j=1 Mi I -1 ij Mj , where Mj = P 3 i=1 = IjiΩi are the components of the angular momentum of the body (canonically conjugate to the angular velocities).

(b) What are the canonical coordinates and the Hamilton equations of motion? What is their physical interpretation?

Reference no: EM132776439

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